This is an isosceles triangle. Let us name the unnamed side y. y will also equal 22. We also know that this is a right triangle so using the pythagorean theorem we can calculate x. x = √(22^2+22^2) so x = 31.1.

5 0

2 years ago

There is 3/4 of pizza leftover from the night before. How many 1/8 portiona are there?

lara [203]

Answer: 6

Step-by-step explanation: First you need to set both denominators equal. To do that you multiply 4 by 2 to get 8. Then you have to multiply the numerator by 2, so 2 times 3 equals 6.

6 0

3 years ago

The equation 4x2 – 24x + 4y2 + 72y = 76 is equivalent to

DerKrebs [107]

Answer:

Option 4 is correct.

The equation $4x^2 -24x + 4y^2 + 72y = 76$ is equivalent to $4(x-3)^2 + 4(y+9)^2 =436$

Step-by-step explanation:'

Given equation: $4x^2 -24x + 4y^2 + 72y = 76$

First group the terms with x and those with y;

$(4x^2-24x)+(4y^2+72y) = 76$

Next, we complete the squares.

We can do this by adding a third term such that the x terms and the y terms are perfect squares.

For this we must either add the same value on the other side of the equation or subtract the same value on the same side so that the equality is maintained.

⇒ $4(x^2-6x) +4(y+18y) = 76$